think about vs cogitate

think about and cogitate both are verbs.

Word	Noun	Adjective	Verb	Adverb
think about	No	No	Yes	No
cogitate	No	No	Yes	No

As verbs, cogitate is a hypernym of think about; that is, cogitate is a word with a broader meaning than think about:

think about: have on one's mind, think about actively
cogitate: use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments

Other hypernyms of think about include cerebrate, think.

think about (verb)	cogitate (verb)
take into consideration, have in view	use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments
have on one's mind, think about actively	consider carefully and deeply; reflect upon; turn over in one's mind